312333220321121 has 2 divisors, whose sum is σ = 312333220321122. Its totient is φ = 312333220321120.

The previous prime is 312333220321097. The next prime is 312333220321193. The reversal of 312333220321121 is 121123022333213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 311947127100625 + 386093220496 = 17662025^2 + 621364^2 .

It is a cyclic number.

It is not a de Polignac number, because 312333220321121 - 2³⁸ = 312058342414177 is a prime.

It is not a weakly prime, because it can be changed into another prime (312333220323121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156166610160560 + 156166610160561.

It is an arithmetic number, because the mean of its divisors is an integer number (156166610160561).

Almost surely, 2^{312333220321121} is an apocalyptic number.

It is an amenable number.

312333220321121 is a deficient number, since it is larger than the sum of its proper divisors (1).

312333220321121 is an equidigital number, since it uses as much as digits as its factorization.

312333220321121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 312333220321121 its reverse (121123022333213), we get a palindrome (433456242654334).

The spelling of 312333220321121 in words is "three hundred twelve trillion, three hundred thirty-three billion, two hundred twenty million, three hundred twenty-one thousand, one hundred twenty-one".